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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

3. Linear Functions and Slope-Intercept Form

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Exercise 37 Page 79

What information does a slope-intercept form equation give you?

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Equations written in slope-intercept form follow a specific format. y=mx+ b In this form, m represents the slope of the line and b represents the y-intercept. Below we highlight the slope m and y-intercept b.

y=-1/2x - 3/2 ⇔ y=-1/2x+( -3/2) The slope is - 12. The y-intercept is - 32, so the graph crosses the y-axis at the point (0, - 32).

Graphing the Equation

A slope of - 12 means that for every 2 units we move in the positive horizontal direction, we move 1 unit in the negative vertical direction. m=-1/2 ⇔ rise/run=-1/2 To graph the equation, plot the y-intercept and then use the slope to find another point on the line.

Subchapter links

Lesson Check p.78

Practice and Problem-Solving Exercises p.78-80

Standardized Test Prep p.80

Mixed Review p.80